Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cx |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-18789133545 = -1 · 33 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 5 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-6667] |
[a1,a2,a3,a4,a6] |
j |
-28561/945 |
j-invariant |
L |
6.3910705805024 |
L(r)(E,1)/r! |
Ω |
0.53258909105256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745e1 124215cf1 |
Quadratic twists by: -7 13 |